Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
